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Finding the Fourth Proportional to 472,816.20, 652,462.38 and 257,954.52

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Solution

The fourth proportional to 472,816.20, 652,462.38 and 257,954.52 is: 355,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,816.20 : 652,462.38 = 257,954.52 : x
  2. Step 2: Convert to fraction form
    472,816.20/652,462.38 = 257,954.52/x
  3. Step 3: Cross multiply
    472,816.20x = 652,462.38 × 257,954.52
  4. Step 4: Simplify right side
    472,816.20x = 168,305,620,050.96
  5. Step 5: Solve for x
    x = 168,305,620,050.96/472,816.20
  6. Step 6: Final answer
    x = 355,964.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.